Robert Granat's Thesis Information

The following tech report is the introducing "kappa".

The following papers will be included in the thesis:

  1. Robert Granat and Bo Kågstrom, Direct Eigenvalue Reordering in a Product of Matrices in Periodic Schur Form, SIAM Journal on Matrix Analysis and Applications, Vo. 28, No. 1, pp. 285-300, 2006. [PDF]
  2. Robert Granat, Bo Kågström and Daniel Kressner. Computing Periodic Deflating Subspaces Associated with a Specified Set of Eigenvalues, accepted for BIT Numerical Mathematics. [PDF]
  3. Robert Granat and Bo Kågström, Parallel Solvers for Sylvester-Type Matrix Equations with Applications in Condition Estimation, Part I: Theory and Algorithms, submitted to ACM TOMS, June 2007. [PDF]
  4. Robert Granat and Bo Kågström, Parallel Solvers for Sylvester-Type Matrix Equations with Applications in Condition Estimation, Part II: The SCASY Software Library, submitted to ACM TOMS, June 2007. [PDF]
  5. Robert Granat, Bo Kågström and Daniel Kressner, Parallel Eigenvalue Reordering, submitted to CONCURRENCY AND COMPUTATION: PRACTICE AND EXPERIENCE, September 2007. [PDF]

Alternatively, the whole thesis (the kappa + the five papers) can be found here.

The SCASY homepage is related to the software of papers 3-4.